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Finding the Fourth Proportional to 191,857.32, 287,812.26 and 65,463.66

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Solution

The fourth proportional to 191,857.32, 287,812.26 and 65,463.66 is: 98,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,857.32 : 287,812.26 = 65,463.66 : x
  2. Step 2: Convert to fraction form
    191,857.32/287,812.26 = 65,463.66/x
  3. Step 3: Cross multiply
    191,857.32x = 287,812.26 × 65,463.66
  4. Step 4: Simplify right side
    191,857.32x = 18,841,243,932.47
  5. Step 5: Solve for x
    x = 18,841,243,932.47/191,857.32
  6. Step 6: Final answer
    x = 98,204.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.